We will also adopt the local cost function \(C_L\)  described in [1]}:
\(C_{L}=1-\frac{\sum _{l, l^{\prime }} c_{l} c_{l^{\prime }}^{*}{0}V^{\dagger } A_{l^{\prime }}^{\dagger } U P U^{\dagger } A_{l} V{0}}{\sum _{l, l^{\prime }} c_{l} c_{l^{\prime }}^{*}{0}V^{\dagger } A_{l^{\prime }}^{\dagger } A_{l} V{0}}\) 
